TSTP Solution File: NUM475+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM475+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:44:43 EDT 2023
% Result : Theorem 0.37s 1.38s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM475+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 17:27:17 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.37/1.38
% 0.37/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.37/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.38 %-----------------------------------------------------
% 0.37/1.38 ncf(matrix, plain, [(713 ^ _97025) ^ [] : [xn = sdtasdt0(xl, xr)], (72 ^ _97025) ^ [_99440, _99442, _99444, _99446] : [-(sdtsldt0(_99446, _99442) = sdtsldt0(_99444, _99440)), _99446 = _99444, _99442 = _99440], (82 ^ _97025) ^ [_99799, _99801, _99803, _99805] : [-(sdtmndt0(_99805, _99801) = sdtmndt0(_99803, _99799)), _99805 = _99803, _99801 = _99799], (92 ^ _97025) ^ [_100158, _100160, _100162, _100164] : [-(sdtpldt0(_100164, _100160) = sdtpldt0(_100162, _100158)), _100164 = _100162, _100160 = _100158], (102 ^ _97025) ^ [_100497, _100499, _100501, _100503] : [-(sdtasdt0(_100503, _100499) = sdtasdt0(_100501, _100497)), _100503 = _100501, _100499 = _100497], (2 ^ _97025) ^ [_97169] : [-(_97169 = _97169)], (4 ^ _97025) ^ [_97276, _97278] : [_97278 = _97276, -(_97276 = _97278)], (10 ^ _97025) ^ [_97480, _97482, _97484] : [-(_97484 = _97480), _97484 = _97482, _97482 = _97480], (20 ^ _97025) ^ [_97821, _97823, _97825, _97827] : [-(iLess0(_97825, _97821)), iLess0(_97827, _97823), _97827 = _97825, _97823 = _97821], (34 ^ _97025) ^ [_98265, _98267, _98269, _98271] : [-(doDivides0(_98269, _98265)), doDivides0(_98271, _98267), _98271 = _98269, _98267 = _98265], (62 ^ _97025) ^ [_99105, _99107] : [-(aNaturalNumber0(_99105)), _99107 = _99105, aNaturalNumber0(_99107)], (48 ^ _97025) ^ [_98709, _98711, _98713, _98715] : [-(sdtlseqdt0(_98713, _98709)), sdtlseqdt0(_98715, _98711), _98715 = _98713, _98711 = _98709], (112 ^ _97025) ^ [_100828] : [aNaturalNumber0(_100828), true___, -(true___)], (122 ^ _97025) ^ [] : [-(aNaturalNumber0(sz00))], (124 ^ _97025) ^ [] : [-(aNaturalNumber0(sz10))], (126 ^ _97025) ^ [] : [sz10 = sz00], (128 ^ _97025) ^ [_101257, _101259] : [-(aNaturalNumber0(sdtpldt0(_101259, _101257))), aNaturalNumber0(_101259), aNaturalNumber0(_101257)], (138 ^ _97025) ^ [_101556, _101558] : [-(aNaturalNumber0(sdtasdt0(_101558, _101556))), aNaturalNumber0(_101558), aNaturalNumber0(_101556)], (148 ^ _97025) ^ [_101855, _101857] : [-(sdtpldt0(_101857, _101855) = sdtpldt0(_101855, _101857)), aNaturalNumber0(_101857), aNaturalNumber0(_101855)], (158 ^ _97025) ^ [_102176, _102178, _102180] : [-(sdtpldt0(sdtpldt0(_102180, _102178), _102176) = sdtpldt0(_102180, sdtpldt0(_102178, _102176))), aNaturalNumber0(_102180), aNaturalNumber0(_102178), aNaturalNumber0(_102176)], (172 ^ _97025) ^ [_102582] : [aNaturalNumber0(_102582), 175 ^ _97025 : [(176 ^ _97025) ^ [] : [-(sdtpldt0(_102582, sz00) = _102582)], (178 ^ _97025) ^ [] : [-(_102582 = sdtpldt0(sz00, _102582))]]], (180 ^ _97025) ^ [_102869, _102871] : [-(sdtasdt0(_102871, _102869) = sdtasdt0(_102869, _102871)), aNaturalNumber0(_102871), aNaturalNumber0(_102869)], (190 ^ _97025) ^ [_103190, _103192, _103194] : [-(sdtasdt0(sdtasdt0(_103194, _103192), _103190) = sdtasdt0(_103194, sdtasdt0(_103192, _103190))), aNaturalNumber0(_103194), aNaturalNumber0(_103192), aNaturalNumber0(_103190)], (204 ^ _97025) ^ [_103596] : [aNaturalNumber0(_103596), 207 ^ _97025 : [(208 ^ _97025) ^ [] : [-(sdtasdt0(_103596, sz10) = _103596)], (210 ^ _97025) ^ [] : [-(_103596 = sdtasdt0(sz10, _103596))]]], (212 ^ _97025) ^ [_103869] : [aNaturalNumber0(_103869), 215 ^ _97025 : [(216 ^ _97025) ^ [] : [-(sdtasdt0(_103869, sz00) = sz00)], (218 ^ _97025) ^ [] : [-(sz00 = sdtasdt0(sz00, _103869))]]], (220 ^ _97025) ^ [_104170, _104172, _104174] : [231 ^ _97025 : [(232 ^ _97025) ^ [] : [-(sdtasdt0(_104174, sdtpldt0(_104172, _104170)) = sdtpldt0(sdtasdt0(_104174, _104172), sdtasdt0(_104174, _104170)))], (234 ^ _97025) ^ [] : [-(sdtasdt0(sdtpldt0(_104172, _104170), _104174) = sdtpldt0(sdtasdt0(_104172, _104174), sdtasdt0(_104170, _104174)))]], aNaturalNumber0(_104174), aNaturalNumber0(_104172), aNaturalNumber0(_104170)], (236 ^ _97025) ^ [_104717, _104719, _104721] : [249 ^ _97025 : [(250 ^ _97025) ^ [] : [sdtpldt0(_104721, _104719) = sdtpldt0(_104721, _104717)], (252 ^ _97025) ^ [] : [sdtpldt0(_104719, _104721) = sdtpldt0(_104717, _104721)]], -(_104719 = _104717), aNaturalNumber0(_104721), aNaturalNumber0(_104719), aNaturalNumber0(_104717)], (256 ^ _97025) ^ [_105294] : [aNaturalNumber0(_105294), -(_105294 = sz00), 263 ^ _97025 : [(264 ^ _97025) ^ [_105556, _105558] : [aNaturalNumber0(_105558), aNaturalNumber0(_105556), 273 ^ _97025 : [(274 ^ _97025) ^ [] : [sdtasdt0(_105294, _105558) = sdtasdt0(_105294, _105556)], (276 ^ _97025) ^ [] : [sdtasdt0(_105558, _105294) = sdtasdt0(_105556, _105294)]], -(_105558 = _105556)]]], (280 ^ _97025) ^ [_106067, _106069] : [aNaturalNumber0(_106069), aNaturalNumber0(_106067), sdtpldt0(_106069, _106067) = sz00, 291 ^ _97025 : [(292 ^ _97025) ^ [] : [-(_106069 = sz00)], (294 ^ _97025) ^ [] : [-(_106067 = sz00)]]], (296 ^ _97025) ^ [_106534, _106536] : [aNaturalNumber0(_106536), aNaturalNumber0(_106534), sdtasdt0(_106536, _106534) = sz00, -(_106536 = sz00), -(_106534 = sz00)], (314 ^ _97025) ^ [_107016, _107018] : [aNaturalNumber0(_107018), aNaturalNumber0(_107016), 321 ^ _97025 : [(322 ^ _97025) ^ [] : [sdtlseqdt0(_107018, _107016), 326 ^ _97025 : [(327 ^ _97025) ^ [] : [-(aNaturalNumber0(325 ^ [_107016, _107018]))], (329 ^ _97025) ^ [] : [-(sdtpldt0(_107018, 325 ^ [_107016, _107018]) = _107016)]]], (331 ^ _97025) ^ [] : [-(sdtlseqdt0(_107018, _107016)), 332 ^ _97025 : [(333 ^ _97025) ^ [_107576] : [aNaturalNumber0(_107576), sdtpldt0(_107018, _107576) = _107016]]]]], (341 ^ _97025) ^ [_107859, _107861] : [aNaturalNumber0(_107861), aNaturalNumber0(_107859), sdtlseqdt0(_107861, _107859), 352 ^ _97025 : [(353 ^ _97025) ^ [_108206] : [_108206 = sdtmndt0(_107859, _107861), 356 ^ _97025 : [(357 ^ _97025) ^ [] : [-(aNaturalNumber0(_108206))], (359 ^ _97025) ^ [] : [-(sdtpldt0(_107861, _108206) = _107859)]]], (361 ^ _97025) ^ [_108465] : [-(_108465 = sdtmndt0(_107859, _107861)), aNaturalNumber0(_108465), sdtpldt0(_107861, _108465) = _107859]]], (371 ^ _97025) ^ [_108787] : [aNaturalNumber0(_108787), -(sdtlseqdt0(_108787, _108787))], (377 ^ _97025) ^ [_108989, _108991] : [aNaturalNumber0(_108991), aNaturalNumber0(_108989), -(_108991 = _108989), sdtlseqdt0(_108991, _108989), sdtlseqdt0(_108989, _108991)], (395 ^ _97025) ^ [_109478, _109480, _109482] : [aNaturalNumber0(_109482), aNaturalNumber0(_109480), aNaturalNumber0(_109478), -(sdtlseqdt0(_109482, _109478)), sdtlseqdt0(_109482, _109480), sdtlseqdt0(_109480, _109478)], (417 ^ _97025) ^ [_110064, _110066] : [aNaturalNumber0(_110066), aNaturalNumber0(_110064), -(sdtlseqdt0(_110066, _110064)), 428 ^ _97025 : [(429 ^ _97025) ^ [] : [_110064 = _110066], (431 ^ _97025) ^ [] : [-(sdtlseqdt0(_110064, _110066))]]], (433 ^ _97025) ^ [_110527, _110529] : [aNaturalNumber0(_110529), aNaturalNumber0(_110527), -(_110529 = _110527), sdtlseqdt0(_110529, _110527), 448 ^ _97025 : [(449 ^ _97025) ^ [_110971] : [aNaturalNumber0(_110971), 452 ^ _97025 : [(453 ^ _97025) ^ [] : [sdtpldt0(_110971, _110529) = sdtpldt0(_110971, _110527)], (455 ^ _97025) ^ [] : [-(sdtlseqdt0(sdtpldt0(_110971, _110529), sdtpldt0(_110971, _110527)))], (457 ^ _97025) ^ [] : [sdtpldt0(_110529, _110971) = sdtpldt0(_110527, _110971)], (459 ^ _97025) ^ [] : [-(sdtlseqdt0(sdtpldt0(_110529, _110971), sdtpldt0(_110527, _110971)))]]]]], (461 ^ _97025) ^ [_111495, _111497, _111499] : [aNaturalNumber0(_111499), aNaturalNumber0(_111497), aNaturalNumber0(_111495), 484 ^ _97025 : [(485 ^ _97025) ^ [] : [sdtasdt0(_111499, _111497) = sdtasdt0(_111499, _111495)], (487 ^ _97025) ^ [] : [-(sdtlseqdt0(sdtasdt0(_111499, _111497), sdtasdt0(_111499, _111495)))], (489 ^ _97025) ^ [] : [sdtasdt0(_111497, _111499) = sdtasdt0(_111495, _111499)], (491 ^ _97025) ^ [] : [-(sdtlseqdt0(sdtasdt0(_111497, _111499), sdtasdt0(_111495, _111499)))]], -(_111499 = sz00), -(_111497 = _111495), sdtlseqdt0(_111497, _111495)], (493 ^ _97025) ^ [_112445] : [aNaturalNumber0(_112445), -(_112445 = sz00), -(_112445 = sz10), 504 ^ _97025 : [(505 ^ _97025) ^ [] : [sz10 = _112445], (507 ^ _97025) ^ [] : [-(sdtlseqdt0(sz10, _112445))]]], (509 ^ _97025) ^ [_112893, _112895] : [aNaturalNumber0(_112895), aNaturalNumber0(_112893), -(_112895 = sz00), -(sdtlseqdt0(_112893, sdtasdt0(_112893, _112895)))], (523 ^ _97025) ^ [_113288, _113290] : [aNaturalNumber0(_113290), aNaturalNumber0(_113288), iLess0(_113290, _113288), true___, -(true___)], (541 ^ _97025) ^ [_113748, _113750] : [aNaturalNumber0(_113750), aNaturalNumber0(_113748), -(iLess0(_113750, _113748)), -(_113750 = _113748), sdtlseqdt0(_113750, _113748)], (559 ^ _97025) ^ [_114226, _114228] : [aNaturalNumber0(_114228), aNaturalNumber0(_114226), 566 ^ _97025 : [(567 ^ _97025) ^ [] : [doDivides0(_114228, _114226), 571 ^ _97025 : [(572 ^ _97025) ^ [] : [-(aNaturalNumber0(570 ^ [_114226, _114228]))], (574 ^ _97025) ^ [] : [-(_114226 = sdtasdt0(_114228, 570 ^ [_114226, _114228]))]]], (576 ^ _97025) ^ [] : [-(doDivides0(_114228, _114226)), 577 ^ _97025 : [(578 ^ _97025) ^ [_114786] : [aNaturalNumber0(_114786), _114226 = sdtasdt0(_114228, _114786)]]]]], (586 ^ _97025) ^ [_115069, _115071] : [aNaturalNumber0(_115071), aNaturalNumber0(_115069), -(_115071 = sz00), doDivides0(_115071, _115069), 601 ^ _97025 : [(602 ^ _97025) ^ [_115508] : [_115508 = sdtsldt0(_115069, _115071), 605 ^ _97025 : [(606 ^ _97025) ^ [] : [-(aNaturalNumber0(_115508))], (608 ^ _97025) ^ [] : [-(_115069 = sdtasdt0(_115071, _115508))]]], (610 ^ _97025) ^ [_115767] : [-(_115767 = sdtsldt0(_115069, _115071)), aNaturalNumber0(_115767), _115069 = sdtasdt0(_115071, _115767)]]], (620 ^ _97025) ^ [_116119, _116121, _116123] : [aNaturalNumber0(_116123), aNaturalNumber0(_116121), aNaturalNumber0(_116119), -(doDivides0(_116123, _116119)), doDivides0(_116123, _116121), doDivides0(_116121, _116119)], (664 ^ _97025) ^ [] : [-(aNaturalNumber0(xl))], (666 ^ _97025) ^ [] : [-(aNaturalNumber0(xm))], (668 ^ _97025) ^ [] : [-(aNaturalNumber0(xn))], (671 ^ _97025) ^ [] : [-(aNaturalNumber0(669 ^ []))], (673 ^ _97025) ^ [] : [-(xm = sdtasdt0(xl, 669 ^ []))], (675 ^ _97025) ^ [] : [-(doDivides0(xl, xm))], (678 ^ _97025) ^ [] : [-(aNaturalNumber0(676 ^ []))], (680 ^ _97025) ^ [] : [-(sdtpldt0(xm, xn) = sdtasdt0(xl, 676 ^ []))], (682 ^ _97025) ^ [] : [-(doDivides0(xl, sdtpldt0(xm, xn)))], (684 ^ _97025) ^ [] : [xl = sz00], (686 ^ _97025) ^ [] : [-(aNaturalNumber0(xp))], (688 ^ _97025) ^ [] : [-(xm = sdtasdt0(xl, xp))], (690 ^ _97025) ^ [] : [-(xp = sdtsldt0(xm, xl))], (692 ^ _97025) ^ [] : [-(aNaturalNumber0(xq))], (694 ^ _97025) ^ [] : [-(sdtpldt0(xm, xn) = sdtasdt0(xl, xq))], (696 ^ _97025) ^ [] : [-(xq = sdtsldt0(sdtpldt0(xm, xn), xl))], (699 ^ _97025) ^ [] : [-(aNaturalNumber0(697 ^ []))], (701 ^ _97025) ^ [] : [-(sdtpldt0(xp, 697 ^ []) = xq)], (703 ^ _97025) ^ [] : [-(sdtlseqdt0(xp, xq))], (705 ^ _97025) ^ [] : [-(aNaturalNumber0(xr))], (707 ^ _97025) ^ [] : [-(sdtpldt0(xp, xr) = xq)], (709 ^ _97025) ^ [] : [-(xr = sdtmndt0(xq, xp))], (711 ^ _97025) ^ [] : [-(sdtpldt0(sdtasdt0(xl, xp), sdtasdt0(xl, xr)) = sdtpldt0(sdtasdt0(xl, xp), xn))], (642 ^ _97025) ^ [_116719, _116721, _116723] : [aNaturalNumber0(_116723), aNaturalNumber0(_116721), aNaturalNumber0(_116719), -(doDivides0(_116723, sdtpldt0(_116721, _116719))), doDivides0(_116723, _116721), doDivides0(_116723, _116719)]], input).
% 0.37/1.38 ncf('1',plain,[xn = sdtasdt0(xl, xr)],start(713 ^ 0)).
% 0.37/1.38 ncf('1.1',plain,[-(xn = sdtasdt0(xl, xr)), 250 : sdtpldt0(sdtasdt0(xl, xp), xn) = sdtpldt0(sdtasdt0(xl, xp), sdtasdt0(xl, xr)), 250 : aNaturalNumber0(sdtasdt0(xl, xp)), 250 : aNaturalNumber0(xn), 250 : aNaturalNumber0(sdtasdt0(xl, xr))],extension(236 ^ 1,bind([[_104717, _104719, _104721], [sdtasdt0(xl, xr), xn, sdtasdt0(xl, xp)]]))).
% 0.37/1.38 ncf('1.1.1',plain,[-(sdtpldt0(sdtasdt0(xl, xp), xn) = sdtpldt0(sdtasdt0(xl, xp), sdtasdt0(xl, xr))), sdtpldt0(sdtasdt0(xl, xp), sdtasdt0(xl, xr)) = sdtpldt0(sdtasdt0(xl, xp), xn)],extension(4 ^ 4,bind([[_97276, _97278], [sdtpldt0(sdtasdt0(xl, xp), xn), sdtpldt0(sdtasdt0(xl, xp), sdtasdt0(xl, xr))]]))).
% 0.37/1.38 ncf('1.1.1.1',plain,[-(sdtpldt0(sdtasdt0(xl, xp), sdtasdt0(xl, xr)) = sdtpldt0(sdtasdt0(xl, xp), xn))],extension(711 ^ 5)).
% 0.37/1.38 ncf('1.1.2',plain,[-(aNaturalNumber0(sdtasdt0(xl, xp))), xm = sdtasdt0(xl, xp), aNaturalNumber0(xm)],extension(62 ^ 2,bind([[_99105, _99107], [sdtasdt0(xl, xp), xm]]))).
% 0.37/1.38 ncf('1.1.2.1',plain,[-(xm = sdtasdt0(xl, xp))],extension(688 ^ 3)).
% 0.37/1.38 ncf('1.1.2.2',plain,[-(aNaturalNumber0(xm))],extension(666 ^ 3)).
% 0.37/1.38 ncf('1.1.3',plain,[-(aNaturalNumber0(xn))],extension(668 ^ 2)).
% 0.37/1.38 ncf('1.1.4',plain,[-(aNaturalNumber0(sdtasdt0(xl, xr))), aNaturalNumber0(xl), aNaturalNumber0(xr)],extension(138 ^ 2,bind([[_101556, _101558], [xr, xl]]))).
% 0.37/1.38 ncf('1.1.4.1',plain,[-(aNaturalNumber0(xl))],extension(664 ^ 3)).
% 0.37/1.38 ncf('1.1.4.2',plain,[-(aNaturalNumber0(xr))],extension(705 ^ 3)).
% 0.37/1.38 %-----------------------------------------------------
% 0.37/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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